What is e^{3x}\times e^{2x} ?

The solution to e^{3x}\times e^{2x} is e^{5x}

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simplify e^{3x}\times e^{2x}

simplify

e^{3 x} \cdot e^{2 x}

e^{5 x}

Solution steps

e^{3 x} e^{2 x}

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{3 x} e^{2 x} = e^{3 x + 2 x}

= e^{3 x + 2 x}

Add similar elements:

3 x + 2 x = 5 x

= e^{5 x}

c^{2} d^{2} (15 c + 60 d)

18 \cdot e^{- \frac{1 8 ^{2}}{162}}

e^{- \frac{1}{0.41} \cdot \frac{1}{6}}

2 x^{2} (\frac{8}{3} x^{3})